TSTP Solution File: LAT011-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:07:47 EDT 2022

% Result   : Unsatisfiable 0.41s 0.61s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.31  % Computer : n026.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Fri Jul 22 20:05:35 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.41/0.61  GeoParameters:
% 0.41/0.61  
% 0.41/0.61  tptp_input =     1
% 0.41/0.61  tptp_output =    0
% 0.41/0.61  nonempty =       1
% 0.41/0.61  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.61  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.41/0.61  
% 0.41/0.61  
% 0.41/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.61  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.61  
% 0.41/0.61  RuleSystem INPUT:
% 0.41/0.61  
% 0.41/0.61  Initial Rules:
% 0.41/0.61  #0: input, references = 4, size of lhs = 2:
% 0.41/0.61     P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #1: input, references = 4, size of lhs = 2:
% 0.41/0.61     P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #2: input, references = 4, size of lhs = 3:
% 0.41/0.61     P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #3: input, references = 4, size of lhs = 3:
% 0.41/0.61     P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #4: input, references = 4, size of lhs = 3:
% 0.41/0.61     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #5: input, references = 4, size of lhs = 3:
% 0.41/0.61     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #6: input, references = 4, size of lhs = 5:
% 0.41/0.61     P_meet-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V4), P_meet-{F}(V1,V2,V5), P_meet-{F}(V0,V5,V6), V4 == V6 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #7: input, references = 4, size of lhs = 5:
% 0.41/0.61     P_join-{F}(V0,V1,V3), P_join-{F}(V3,V2,V4), P_join-{F}(V1,V2,V5), P_join-{F}(V0,V5,V6), V4 == V6 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #8: input, references = 4, size of lhs = 2:
% 0.41/0.61     P_meet2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #9: input, references = 4, size of lhs = 3:
% 0.41/0.61     P_meet2-{F}(V0,V1,V2), P_meet2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #10: input, references = 4, size of lhs = 3:
% 0.41/0.61     P_join-{F}(V0,V1,V2), P_meet2-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #11: input, references = 4, size of lhs = 3:
% 0.41/0.61     P_meet2-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #12: input, references = 4, size of lhs = 5:
% 0.41/0.61     P_meet2-{F}(V0,V1,V3), P_meet2-{F}(V3,V2,V4), P_meet2-{F}(V1,V2,V5), P_meet2-{F}(V0,V5,V6), V4 == V6 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #13: input, references = 4, size of lhs = 4:
% 0.41/0.61     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V3), P_meet2-{F}(V0,V1,V3) | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #14: input, references = 8, size of lhs = 2:
% 0.41/0.61     #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #15: input, references = 6, size of lhs = 2:
% 0.41/0.61     #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #16: input, references = 7, size of lhs = 2:
% 0.41/0.61     #-{F} V0, #-{F} V1 | EXISTS V2: P_meet2-{T}(V0,V1,V2)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #17: input, references = 4, size of lhs = 0:
% 0.41/0.61     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #18: input, references = 4, size of lhs = 0:
% 0.41/0.61     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  number of initial rules = 19
% 0.41/0.61  
% 0.41/0.61  Simplifiers:
% 0.41/0.61  #19: unsound, references = 3, size of lhs = 3:
% 0.41/0.61     P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #20: unsound, references = 3, size of lhs = 3:
% 0.41/0.61     P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #21: unsound, references = 3, size of lhs = 3:
% 0.41/0.61     P_meet2-{F}(V0,V1,V2), P_meet2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #22: unsound, references = 3, size of lhs = 3:
% 0.41/0.61     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #23: unsound, references = 3, size of lhs = 3:
% 0.41/0.61     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  number of simplifiers = 5
% 0.41/0.61  
% 0.41/0.61  Learnt:
% 0.41/0.61  #25: exists( #14, #0 ), references = 1, size of lhs = 1:
% 0.41/0.61     #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #27: exists( #16, #10 ), references = 4, size of lhs = 1:
% 0.41/0.61     P_join-{F}(V0,V1,V2) | P_meet2-{T}(V0,V2,V0)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #30: exists( #16, #8 ), references = 1, size of lhs = 1:
% 0.41/0.61     #-{F} V0 | P_meet2-{T}(V0,V0,V0)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #34: exists( #15, #1 ), references = 1, size of lhs = 1:
% 0.41/0.61     #-{F} V0 | P_join-{T}(V0,V0,V0)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #35: exists( #15, #3 ), references = 4, size of lhs = 1:
% 0.41/0.61     P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #36: exists( #15, #11 ), references = 3, size of lhs = 1:
% 0.41/0.61     P_meet2-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #38: exists( #14, #4 ), references = 6, size of lhs = 1:
% 0.41/0.61     P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #40: exists( #16, #9 ), references = 4, size of lhs = 1:
% 0.41/0.61     P_meet2-{F}(V0,V1,V2) | P_meet2-{T}(V1,V0,V2)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #43: exists( #15, #5 ), references = 6, size of lhs = 1:
% 0.41/0.61     P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #50: exists( #14, #6 ), references = 2, size of lhs = 3:
% 0.41/0.61     P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #53: exists( #15, #7 ), references = 1, size of lhs = 3:
% 0.41/0.61     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5) | P_join-{T}(V2,V3,V5)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #56: exists( #14, #54 ), references = 3, size of lhs = 1:
% 0.41/0.61     P_join-{F}(V0,V1,V2) | P_meet-{T}(V2,V0,V0)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #72: exists( #16, #70 ), references = 1, size of lhs = 3:
% 0.41/0.61     P_meet-{F}(V0,V1,V2), P_meet2-{F}(V0,V2,V3), P_meet2-{F}(V1,V3,V4) | P_meet2-{T}(V1,V0,V4)
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #84: exists( #14, #82 ), references = 1, size of lhs = 2:
% 0.41/0.61     P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #86: exists( #18, #83 ), references = 1, size of lhs = 1:
% 0.41/0.61     P_a-{F}(V0) | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  #88: exists( #17, #85 ), references = 1, size of lhs = 0:
% 0.41/0.61     FALSE | FALSE
% 0.41/0.61        (used 0 times, uses = {})
% 0.41/0.61  
% 0.41/0.61  number of learnt formulas = 16
% 0.41/0.61  
% 0.41/0.61  
% 0.41/0.61  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.61  
% 0.41/0.61  randbase = 1
%------------------------------------------------------------------------------